Dynamics of a stage structured pest control model in a polluted environment with pulse pollution input
type: Item
instance of: scholarly article
title: Dynamics of a stage structured pest control model in a polluted environment with pulse pollution input
zbMATH Open document ID: 1397.92583
DOI: 10.1155/2013/678762
author: Bing Liu
author: Ling Xu
author: Baolin Kang
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: By using pollution model and impulsive delay differential equation, we formulate a pest control model with stage structure for natural enemy in a polluted environment by introducing a constant periodic pollutant input and killing pest at different fixed moments and investigate the dynamics of such a system. We assume only that the natural enemies are affected by pollution, and we choose the method to kill the pest without harming natural enemies. Sufficient conditions for global attractivity of the natural enemy-extinction periodic solution and permanence of the system are obtained. Numerical simulations are presented to confirm our theoretical results.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K45
zbMATH DE Number: 6950816
Wikidata QID: Q59003706
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/678762
OpenAlex ID: W1981996490
DBLP publication ID: journals/jam/LiuXK13
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description: scientific article; zbMATH DE number 6950816